A New Interpretation of Effects of the Probabilistic Delayed Start on the One-Dimensional Traffic Flow

作者:Ishibashi Yoshihiro*; Fukui Minoru
来源:Journal of the Physical Society of Japan, 2018, 87(3): 034803.
DOI:10.7566/JPSJ.87.034803

摘要

The effect of the probabilistic delayed start on the one-dimensional traffic flow is investigated on the basis of several models. Analogy with the degeneracy of the states and its resolution, as well as that with the mathematical procedures adopted for them, is utilized. The perturbation is assumed to be proportional to the probability of the delayed start, and the perturbation function is determined so that imposed conditions are fulfilled. The obtained formulas coincide with those previously derived on the basis of the mean-field analyses of the Nagel-Schreckenberg and Fukui-Ishibashi models, and reproduce the cellular automaton simulation results.

  • 出版日期2018-3-15